Lagrangian duality for multiobjective programming problems in lexicographic order (Q2015753)
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scientific article; zbMATH DE number 6307012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lagrangian duality for multiobjective programming problems in lexicographic order |
scientific article; zbMATH DE number 6307012 |
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Lagrangian duality for multiobjective programming problems in lexicographic order (English)
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23 June 2014
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Summary: This paper deals with a constraint multiobjective programming problem and its dual problem in the lexicographic order. We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. Meanwhile, we study the relations between the lexicographic saddle point and the lexicographic solution to a multiobjective programming problem.
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